A numerical method for a nonlinear inversion problem for the 2D wave equation with a potential is discussed. In order to avoid the ill-posedness, we substitute a coupled system of one-way wave equations for the original wave equation. An iterative algorithm is constructed to improve the accuracy of
A cache-efficient implementation of the lattice Boltzmann method for the two-dimensional diffusion equation
✍ Scribed by A. C. Velivelli; K. M. Bryden
- Publisher
- John Wiley and Sons
- Year
- 2004
- Tongue
- English
- Weight
- 205 KB
- Volume
- 16
- Category
- Article
- ISSN
- 1532-0626
- DOI
- 10.1002/cpe.868
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📜 SIMILAR VOLUMES
## Abstract A class of higher order compact (HOC) schemes has been developed with weighted time discretization for the two‐dimensional unsteady convection–diffusion equation with variable convection coefficients. The schemes are second or lower order accurate in time depending on the choice of the
This work presents a novel boundary integral method to treat the two-dimensional potential ¯ow due to a moving body with the Lyapunov surface. The singular integral equations are derived in singularity-free form by applying the Gauss ¯ux theorem and the property of the equipotential body. The modi®e